How Do I Derive This Circuit Simulation Function for Newton's Method?

  • Thread starter zckumling
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In summary, the user is a ship-electrician and will be starting on an engineering degree next semester. They are currently reading and doing a circuit simulation on their own. They need help finding the derivative of a function, specifically lookupIa(vgk), in order to use it with a Newton method iteration. They are unsure how to solve this function when it depends on a second function and are seeking assistance. They also provided some additional information and asked for clarification on certain points.
  • #1
zckumling
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Hi, this is my first post on this forum ..

My education is ship-electrician, I'm not starting calculus until next semester when I start on my engineering degree .. I've started reading stuff on my own and I'm doing a circuit simulation ..

Here's my function: (KCL)
[tex]
{\frac {{\it vaa}-{\it vout}}{{\it ra}}}-{\it lookupIa} \left( {\it
vgk} \right) -{\frac {{\it vout}}{{\it rload}}}=0
[/tex]

I need help to find the derivative of this function to use it with a Newton method iteration..

lookupIa(vgk), is my lookuptable in C++ and I have no clue how to solve this function when it depends on a second function.. ;)

I'm a complete idiot on this subject at the moment, any help on this and I'm forever grateful!
 
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  • #2
Welcome to Physics Forums :smile:

I looked at your question a couple of days ago, but am having a little trouble understanding it. Some things that are not clear to me are:
What is "this function" that you want to find the derivative of? lookupIa(vgk), or Vout, or the entire left-hand-side of the equation? Or something else?

What are you taking the derivative with respect to, is it time or something else?

What is vgk?​
That being said ... I don't know if this helps any, but a pretty good estimate of the derivative of f(x), when f is given in a table, would be
f'(xi) ≈ (f(xi+1) - f(xi-1)) / (xi+1 - xi-1)​

By the way, thanks for providing a little background about yourself. I find it's easier to help somebody if I know a little about where they're coming from.
 

FAQ: How Do I Derive This Circuit Simulation Function for Newton's Method?

How do I find the derivative of a function?

To find the derivative of a function, you must use the rules of differentiation, such as the power rule, product rule, and chain rule. These rules will help you find the slope of the tangent line at any point on the function.

What is the purpose of finding a derivative?

The derivative of a function represents the rate of change of that function at any given point. It is useful in various fields such as physics, economics, and engineering, as it helps us understand how a function is changing and its behavior.

What is the difference between a derivative and an integral?

A derivative is the rate of change of a function, while an integral is the accumulation of a function over an interval. In other words, a derivative tells us how a function is changing, while an integral tells us the total change of a function.

Can I use a calculator to find the derivative?

Yes, most scientific calculators have a built-in function to find derivatives. However, it is important to understand the concepts and rules of differentiation to use the calculator effectively and interpret the results correctly.

Are there any shortcuts to finding derivatives?

Yes, there are some common derivative rules that can help make the process quicker. These include the constant multiple rule, sum/difference rule, and quotient rule. However, it is still important to understand the basic principles of differentiation and use these shortcuts appropriately.

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